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1066630080 = 26353730029
BaseRepresentation
bin111111100100110…
…111101111000000
32202100001102101210
4333210313233000
54141024130310
6253501330120
735301130455
oct7744675700
92670042353
101066630080
114a80a2a6a
12259266940
1313cc98b79
14a193382c
1563993820
hex3f937bc0

1066630080 has 112 divisors (see below), whose sum is σ = 3478194720. Its totient is φ = 276738048.

The previous prime is 1066630049. The next prime is 1066630157. The reversal of 1066630080 is 800366601.

It is a super-2 number, since 2×10666300802 = 2275399455121612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20506 + ... + 50534.

It is an arithmetic number, because the mean of its divisors is an integer number (31055310).

Almost surely, 21066630080 is an apocalyptic number.

1066630080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739097360).

1066630080 is an abundant number, since it is smaller than the sum of its proper divisors (2411564640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1066630080 is a wasteful number, since it uses less digits than its factorization.

1066630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30086 (or 30076 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1066630080 is about 32659.3031156514. The cubic root of 1066630080 is about 1021.7342277629.

Adding to 1066630080 its reverse (800366601), we get a palindrome (1866996681).

The spelling of 1066630080 in words is "one billion, sixty-six million, six hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 64 74 80 96 111 120 148 160 185 192 222 240 296 320 370 444 480 555 592 740 888 960 1110 1184 1480 1776 2220 2368 2960 3552 4440 5920 7104 8880 11840 17760 30029 35520 60058 90087 120116 150145 180174 240232 300290 360348 450435 480464 600580 720696 900870 960928 1111073 1201160 1441392 1801740 1921856 2222146 2402320 2882784 3333219 3603480 4444292 4804640 5555365 5765568 6666438 7206960 8888584 9609280 11110730 13332876 14413920 16666095 17777168 22221460 26665752 28827840 33332190 35554336 44442920 53331504 66664380 71108672 88885840 106663008 133328760 177771680 213326016 266657520 355543360 533315040 1066630080